Equations for multiparticle dynamics

TL;DR: In this article, the transverse and longitudinal electron beam sizes and the electron beam lifetime limitations in electron storage rings are discussed and the methods used at MAX-lab to measure them are described.

TL;DR: In this paper, the authors present a formal treatment of the behavior of multi-particle beam transport systems, where the trajectories of every single particle within a beam can be described by calculating the trajectory of all the other particles within the beam.

TL;DR: In this paper, it was shown that if n alternates rapidly between large positive and large negative values, the stability of both radial and vertical oscillations can be greatly increased compared to conventional accelerators in which n is azimuthally constant and must lie between 0 and 1.

TL;DR: This paper introduces the physics of electron storage rings, focusing on the design and performance of a streamer-chamber system for inelastic proton-proton collisions at CERN's ISR, discussing its components and analysis methods.

TL;DR: In this article, an equilibrium theory of the length of intense electron bunches circulating in a storage ring is presented, and the consequcnce of electrical interaction with various resonant structures is expressed in terms of quadratures over the impedance of the structures, and impedance functions for a variety of elements are evaluated.